We consider a one-phase one-dimensional Stefan problem with general data with the aim to investigate some open questions on existence of classical solutions. We show how existence and nonexistence are discriminated by the behavior of the initial datum in the neighborhood of the starting point of the free boundary.
A critical case for the solvability of Stefan-like problems / A. FASANO; PRIMICERIO M.. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - STAMPA. - 5:(1983), pp. 84-96. [10.1002/mma.1670050107]
A critical case for the solvability of Stefan-like problems
FASANO, ANTONIO;PRIMICERIO, MARIO
1983
Abstract
We consider a one-phase one-dimensional Stefan problem with general data with the aim to investigate some open questions on existence of classical solutions. We show how existence and nonexistence are discriminated by the behavior of the initial datum in the neighborhood of the starting point of the free boundary.
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